Constraint relationship for reflectional symmetry and rotational symmetry

A novel theorem linking reflectional symmetry and rotational symmetry has been established in this paper. This theorem constrains that, for a rotationally symmetric image with K>1 fold(s) (K-RSI), its number of reflection-symmetric axes must be either K or zero. The novel constraint theorem provides the guidance for the procedure of symmetry detection. It has been demonstrated by the experiments included in this paper. © 2001 SPIE and IS&T. [DOI: 10.1117/1.1407264]